And since His "act" is to "Draw ALL mankind to Him" John 12:32
And is "Act" is to " convict the World of sin and righteousness and judgment" John 16
And is Act is to "so love the WORLD that He gave"...
It is an open system.
No, without the drawing there is no opportunity for the gospel. Being drawn is not openness. You are also assuming the text means God draws all to Christ in salvation, when that would not be consistent with either the passage in thwich the just-proof-texted verse appears, nor the whole of the Bible. God draws many to Him in judgment.
Let's take a look at that verse in its context.
John 12:20-36
"Now there were some Greeks among those who were going up to worship at the feast; these then came to Philip, who was from Bethsaida of Galilee, and began to ask him, saying, 'Sir, we wish to see Jesus.' Philip came and told Andrew; Andrew and Philip came and told Jesus. And Jesus answered them, saying, 'The hour has come for the Son of Man to be glorified. Truly, truly, I say to you, unless a grain of wheat falls into the earth and dies, it remains alone; but if it dies, it bears much fruit. He who loves his life loses it, and he who hates his life in this world will keep it to life eternal. If anyone serves Me, he must follow Me; and where I am, there My servant will be also; if anyone serves Me, the Father will honor him. Now My soul has become troubled; and what shall I say, 'Father, save Me from this hour'? But for this purpose I came to this hour. Father, glorify Your name.' Then a voice came out of heaven: 'I have both glorified it, and will glorify it again.' So the crowd of people who stood by and heard it were saying that it had thundered; others were saying, 'An angel has spoken to Him.' Jesus answered and said, 'This voice has not come for My sake, but for your sakes. Now judgment is upon this world; now the ruler of this world will be cast out. 'And I, if I am lifted up from the earth, will draw all men to Myself.' But He was saying this to indicate the kind of death by which He was to die. The crowd then answered Him, 'We have heard out of the Law that the Christ is to remain forever; and how can You say, 'The Son of Man must be lifted up'? Who is this Son of Man?' So Jesus said to them, 'For a little while longer the Light is among you. Walk while you have the Light, so that darkness will not overtake you; he who walks in the darkness does not know where he goes. While you have the Light, believe in the Light, so that you may become sons of Light.' These things Jesus spoke, and He went away and hid Himself from them."
There's no mention of the gospel in that passage. You are reading itnto the text something it odes not state. Why? Probably because you were taught to do so by someone else you either read or heardand didn't check to see if John 12:32 actually states what they said it says.
This is another example of the eisegetic inference I have so often cited in my posts.
Now you are rolling your eyes at me and feeling dismissive and judgmental instead of doing what you ought to be doing: looking squarely at scripture as objectively as possible and asking yourself is that correct?